x(x+9)(2x-4)=0

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Solution for x(x+9)(2x-4)=0 equation: 


Simplifying
x(x + 9)(2x + -4) = 0

Reorder the terms:
x(9 + x)(2x + -4) = 0

Reorder the terms:
x(9 + x)(-4 + 2x) = 0

Multiply (9 + x) * (-4 + 2x)
x(9(-4 + 2x) + x(-4 + 2x)) = 0
x((-4 * 9 + 2x * 9) + x(-4 + 2x)) = 0
x((-36 + 18x) + x(-4 + 2x)) = 0
x(-36 + 18x + (-4 * x + 2x * x)) = 0
x(-36 + 18x + (-4x + 2x2)) = 0

Combine like terms: 18x + -4x = 14x
x(-36 + 14x + 2x2) = 0
(-36 * x + 14x * x + 2x2 * x) = 0
(-36x + 14x2 + 2x3) = 0

Solving
-36x + 14x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-18 + 7x + x2) = 0

Factor a trinomial.
2x((-9 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-9 + -1x)' equal to zero and attempt to solve:

Simplifying
-9 + -1x = 0

Solving
-9 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 0 + 9
-1x = 0 + 9

Combine like terms: 0 + 9 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, -9, 2}

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